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3 years ago

The square pyramid has a volume of 768 cubic inches. The height equals 1/6x and the base is just x. What is the value of x ?

1 answer:

5 0

The volume for a pyramid is $V= \frac{1}{3} Bh$ , where B is the area of the base and h is the height. We are given the volume, and the base and height in terms of x. Our formula then looks like this: $768= \frac{1}{3} (x)( \frac{1}{6} x)$ . Simplifying the right side we have $768= \frac{1}{18} x^{2}$ . Multiply both sides by 18 to get rid of the fraction and we have $13824= x^{2}$ , so x = 117.575

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Rudik [331]

Answer:

N = 2 $\frac{3r}{2}$

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which expression has a value of -2? *<br> O 1-4+121<br> O 121 +1-41<br> O 141-121<br> O 1-21-1-41

irga5000 [103]

Answer:

None.

Step-by-step explanation:

1 - 4 + 121

= -3 + 121

= 118

121 + 1 - 41

= 122 - 41

= 81

141 - 121

= 20

1 - 21 - 1 - 41

= -20 - 1 - 41

= -21 - 41

= -62

None of the expressions have a value of -2.

6 0

3 years ago

At a football game 43% of people attending are supporting the home team while 57% we’re supporting the visiting team if the tota

Finger [1]

Answer:

1935

Step-by-step explanation:

Trust Me

8 0

2 years ago

I need help (–

ExtremeBDS [4]

Answer:

Step-by-step explanation:

–

q+6)=

–

5q–30=

–

Add -5 to both sides

Subtract -5 from both sides

Multiply both sides by -5

Divide both sides by -5

Apply the distributive property

5q=

Add 30 to both sides

Divide both sides by 5 would be 69

6 0

3 years ago

The ages of the Oscar-winners for best actor and actress for the years 1970 through 1990 are given below: Women: 34, 34,26,37,42

Artemon [7]

Answer:

See explanation below.

Step-by-step explanation:

Numerical way

We can calculate the mean and the standard deviation from a sample with the following formulas:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

$s= \frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}$

We have the following dataset for women: 34,34,26,37,42,41,35,31,41,33,30,74,33,49,38,61,21,41,26,80,72

And the mean and deviation are:

$\bar X_F = 41.857$

$s_F = 16.399$

We can calculate the median ordering the data like this:

21,26,26,30,31,33,33,34,34,35,37,38,41,41,41,42,49,61,72,74,80

And the median would be on the 11 position of the data ordered, for this case is:

$median_F = 37$

$Minimum_F = 21 , Maximum_F = 80$

And the range is given by: $Range_F = 80-21=59$

We can also calculate the coefficient of variation given by:

$\hat{CV} =\frac{s}{\bar X} = \frac{16.399}{41.857}=0.392$

We have the following dataset for men:

43, 40,48,48,56,38,60,32,40,42,37,76,39,55,45,35,61,33,51,32,42

And the mean and deviation are:

$\bar X_M = 45.381$

$s_M = 11.218$

We can calculate the median ordering the data like this:

32, 32,33,35,37,38,39,40,40,42,42,43,45,48,48,51,55,56,60,61,76

And the median would be on the 11 position of the data ordered, for this case is:

$median_M = 42$

$Minimum_M = 32 , Maximum_F = 76$

And the range is given by: $Range_M = 76-32=44$

We can also calculate the coefficient of variation given by:

$\hat{CV} =\frac{s}{\bar X} = \frac{11.218}{45.381}=0.247$

We se that the mean for the male groups is higher than the mean for female group. The deviation is higher for the female group comapred to the male group. We have more variation for the female group as we can see on the range and the coeffcient of variation.

Graph

We can see the histograms for each group on the figures attached.

As we can see the histogram for males is skewed to the right with the median lower than the mean.

By the other hand the histogram for the female group seems to be skewed to the right also but with missing values on the interval 50-60, for this reason we have more variation compared to the male group.

7 0

3 years ago